Question
A common design requirement is that an environment must fit the range of people who fall...
A
common design requirement is that an environment must fit the range
of people who fall between the 5th percentile for women, and the
95th percentile for men. In designing an assembly work table, the
sitting kneee height must be considered, which is the distance from
the bottom of the feet to the top of the knee. Males have sitting
knee heights that are normally distributed with a mean of 21.9 in.
And a standard deviation of 1.2 in. Females have sitting knee
heights that are normally distributed with a mean of 19 and a
standard deviation of 1.1 in. Use this information to answer the
following:
A: what is the minimum table clearance required to satisfy the
requirement of fitting 95% of men?
B: determine if the following statement is true or false: “if
there is 95% of males, there will certainly be clearance for all
women in the bottom 5%”
-true, because some women will have sitting knee heights that
are outliers
-true, because the 95th percentile for men is greater than the
5th percentile for women
-false, because the 95th percentile for men is greater than
the 5th percentile for women
-false, because some women will have sitting knee lengths that
are outliers
C. The author is writing this exercise with a table clearance
of 23.1 in. above the floor. What percentage of men fit this
table?
D. What percentage of women fit this table ?
E. Does this table appear to be made for almost
everyone?
-the table will fit almost everyone except about 16% of men
with the largest sitting knee heights
-the table will fit only 16% of men
-the table will only fit 1% of women
-not enough information to determine
Homework Answers
Answer #1
For Women: 
For Men:
A) 95% of men are within 1.96 standard deviations from the mean
Hence minimum clearance is 19.55 in.
Largest clearance is 24.25 in.
B) 5th percentile for women is 
95th percentile for men is 
option C is right
c) Percentage of men that fit this table is
15.87% of men fit this table.
d)
Percentage of women that fit this table is
0.01% of women fit this table.
E) option B is right the table will fit only 16% of men
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